Geodesic
The inverse distribution for a dichotomous random variable
Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 2, pp. 385-394.

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In this paper we will deal with the determination of the inverse of a dichotomous probability distribution. In particular it will be shown that a dichotomous distribution admit inverse if and only if it corresponds to a random variable assuming values $(0,a)$, $\,a\in \Bbb R^{+}$. Moreover we will provide two general results about the behaviour of the inverse distribution relative to the power and to a linear transformation of a measure.
Classification : 60E05, 60E10, 62E10, 62E15
Keywords: inverse measure; inverse probability distribution; Laplace transform; variance function 
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     title = {The inverse distribution for a dichotomous random variable},
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Bona, Elisabetta; Sacchetti, Dario. The inverse distribution for a dichotomous random variable. Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 2, pp. 385-394. http://geodesic.mathdoc.fr/item/CMUC_1997__38_2_a20/